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Beliebt Rechnen >

integral from-27 to 8 of 1/(\sqrt[3]{x)}

Lösung

\int_{- 27}^{8} \frac{1}{3 x} d x

Lösung

- \frac{15}{2}

+1

Dezimale

- 7.5

Schritte zur Lösung

\int_{- 27}^{8} \frac{1}{3 x} d x

Bestimme unbestimmte (Singularitäts-)Punkte:

x = 0

Wenn

b, a < b < c, f (b) =

unbestimmt

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{- 27}^{0} \frac{1}{3 x} d x + \int_{0}^{8} \frac{1}{3 x} d x

\int_{- 27}^{0} \frac{1}{3 x} d x = - \frac{27 ( - 1 ) ^{\frac{2}{3}}}{2}

\int_{0}^{8} \frac{1}{3 x} d x = 6

= - \frac{27 ( - 1 ) ^{\frac{2}{3}}}{2} + 6

Vereinfache

- \frac{27 ( - 1 ) ^{\frac{2}{3}}}{2} + 6 : - \frac{15}{2}

= - \frac{15}{2}

Graph

Beliebte Beispiele

2(dy)/(dx)-4xy=8x

2 \frac{d y}{d x} - 4 x y = 8 x

limit as x approaches 2 of (x+5)(x-3)

x \to 2 lim ((x + 5) (x - 3))

integral of t\sqrt[3]{t+10}

\int t 3 t + 10 d t

derivative of x-x^2y-y+xy^2

\frac{d}{d x} (x - x^{2} y - y + x y^{2})

laplacetransform e^-cos(t)

l a pl a ce t r an s f or m e^{-} cos (t)